Properties

Label 137904.l
Number of curves $1$
Conductor $137904$
CM no
Rank $1$

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Show commands: SageMath
E = EllipticCurve("l1")
 
E.isogeny_class()
 

Elliptic curves in class 137904.l

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
137904.l1 137904bf1 \([0, -1, 0, -901, 16249]\) \(-65536/51\) \(-63018818304\) \([]\) \(98496\) \(0.77093\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 137904.l1 has rank \(1\).

Complex multiplication

The elliptic curves in class 137904.l do not have complex multiplication.

Modular form 137904.2.a.l

sage: E.q_eigenform(10)
 
\(q - q^{3} - q^{5} + q^{9} + 5 q^{11} + q^{15} + q^{17} + q^{19} + O(q^{20})\) Copy content Toggle raw display